How to Find GCF of 74/911, 7298/3970?

GCF of 74/911, 7298/3970

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 74/911, 7298/3970 i.e 2/3616670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/911, 7298/3970.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 74/911,7298/3970?

Given fractions are 74/911,7298/3970

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 74/911,7298/3970, numerators are 74,7298

Denominators are 911,3970

The GCF of 74,7298 is 2 .

LCM of 911,3970 is 3616670.

The greatest common factor of 74/911,7298/3970 = [GCF of 74,7298]/[LCM of 911,3970]= 2/3616670

Therefore, the GCF of 74/911,7298/3970 is 2/3616670.

Greatest Common Factor of 74,7298

To find the highest common factor of 74,7298, we have to find the factors of both numbers and list the highest common factor.

The factors of 74 are 1, 2, 37, 74

The factors of 7298 are 1, 2, 41, 82, 89, 178, 3649, 7298

The HCF of 74,7298 is 2.

Lets's calculate GCF of 74,7298

Greatest Common Factor (GCF) of 74,7298 By Common Division

2	74, 7298
	37, 3649

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 74,7298 By Matching Biggest Common Factor Method

Now, list down the factors of 74

1,2,37,74

Now, list down the factors of 7298

1,2,41,82,89,178,3649,7298

Greatest Common Factor

We found the factors 74,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 74,7298 is 2.

Lets's calculate LCM of 911,3970

Lowest Common Multiple of 911,3970 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3616670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3616670

Therefore, the GCF of Fractions 74/911,7298/3970 is 2/3616670

Least Common Multiple of 911,3970 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 911,3970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,3970) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(911,3970) x common factors =1 x 1 = 1

LCM(911,3970) = ( 911 × 3970 ) / 1

LCM(911,3970) = 3616670 / 1

LCM(911,3970) = 3616670

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 74/911, 7298/3970

1. What is the HCF of 74,7298?

The HCF of 74,7298 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 74/911, 7298/3970?

Answer: GCF of Numerators as per given numbers 74/911, 7298/3970 is

GCF of Numerators i.e. for 74,7298 is 2

LCM of denominators i.e. for 911,3970 is 3616670.

Thus, GCF of Fractions is 2/3616670.Finally, GCF of Fractions for 74/911, 7298/3970 is 2/3616670.